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For the reaction $C_2H_5OH(l) + 3O_2(g) \rightarrow 2CO_2(g) + 3H_2O(l)$ which one is true :
A
$\Delta H = \Delta E - RT$
B
$\Delta H = \Delta E + RT$
C
$\Delta H = \Delta E + 2RT$
D
$\Delta H = \Delta E - 2RT$
Detailed Solution
$\Delta H = \Delta E + \Delta n_gRT$
Gaseous products: 2 mol $CO_2$; gaseous reactants: 3 mol $O_2$ (ethanol and water are liquids).
$\Delta n_g = 2 - 3 = -1$
$\Delta H = \Delta E - RT$
Gaseous products: 2 mol $CO_2$; gaseous reactants: 3 mol $O_2$ (ethanol and water are liquids).
$\Delta n_g = 2 - 3 = -1$
$\Delta H = \Delta E - RT$